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DMTCS
2010
137views Mathematics» more  DMTCS 2010»
13 years 6 months ago
Deterministic recognizability of picture languages with Wang automata
We present a model of automaton for picture language recognition, called Wang automaton, which is based on labeled Wang tiles. Wang automata combine features of both online tessell...
Violetta Lonati, Matteo Pradella
DNA
2009
Springer
100views Bioinformatics» more  DNA 2009»
14 years 3 months ago
Self-assembly of the Discrete Sierpinski Carpet and Related Fractals
It is well known that the discrete Sierpinski triangle can be defined as the nonzero residues modulo 2 of Pascal’s triangle, and that from this definition one can easily const...
Steven M. Kautz, James I. Lathrop
DFT
2008
IEEE
107views VLSI» more  DFT 2008»
14 years 3 months ago
Checkpointing of Rectilinear Growth in DNA Self-Assembly
Error detection/correction techniques have been advocated for algorithmic self-assembly. Under rectilinear growth, it requires only two additional tiles, generally referred to as ...
Stephen Frechette, Yong-Bin Kim, Fabrizio Lombardi
DNA
2008
Springer
104views Bioinformatics» more  DNA 2008»
13 years 10 months ago
Self-assembly of Discrete Self-similar Fractals
In this paper, we search for theoretical limitations of the Tile Assembly Model (TAM), along with techniques to work around such limitations. Specifically, we investigate the self...
Matthew J. Patitz, Scott M. Summers
COLING
2000
13 years 10 months ago
Parsing with the Shortest Derivation
Common wisdom has it that tile bias of stochastic grammars in favor of shorter deriwttions of a sentence is hamfful and should be redressed. We show that the common wisdom is wron...
Rens Bod